Overview
Allan Birnbaum (1923–1976) was an American statistician known both for foundational work on the theory of statistical inference — most famously the likelihood principle — and for the mathematical development of latent-trait (item-response) models in psychometrics.
Key Contributions / Features
- Logistic item-response models (Birnbaum 1968): the 2- and 3-parameter logistic latent-trait models, item characteristic curves, and information functions, in Lord and Novick's Statistical Theories of Mental Test Scores (Item Response Theory).
- Likelihood principle (Birnbaum 1962): proved that the sufficiency and conditionality principles together imply the likelihood principle — a landmark in the foundations of statistical inference.
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